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Are the two triangles similar? If so, how do you know? Figure is below

Mathematics
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If all three sides are in the same ratio with the other triangle's sides, then it is similar.
i.e.:\[\frac{12}{8}=\frac{7.5}{5}\]

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Other answers:

What theorem or postulate you think it would be?
The one that says 'If all of triangle A's sides are in the same proportion to each of the matching sides of triangle B, A and B are similar' You could probably derive that from more fundamental principals.
Did you see the figure above?
Yes. 0M=1.5CA, ON=1.5CB, and MN=1.5AB
Ah i see so if the triangle has to be proportionate to the other one they have to be equal on all sides?
Yes, as therefore all the angles are forced into being the same.
Ah never mind I get it
So would you say it is SSS since its measured by its sides?
Yes.
Thank you so much

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